8061187200 has 384 divisors, whose sum is σ = 30233779200. Its totient is φ = 1868697600.

The previous prime is 8061187181. The next prime is 8061187201. The reversal of 8061187200 is 27811608.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (8061187201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2427141 + ... + 2430459.

It is an arithmetic number, because the mean of its divisors is an integer number (78733800).

Almost surely, 2^8061187200 is an apocalyptic number.

8061187200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8061187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15116889600).

8061187200 is an abundant number, since it is smaller than the sum of its proper divisors (22172592000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8061187200 is a wasteful number, since it uses less digits than its factorization.

8061187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 8061187200 is about 89784.1144078394. The cubic root of 8061187200 is about 2005.0859887293.

Adding to 8061187200 its reverse (27811608), we get a palindrome (8088998808).

It can be divided in two parts, 806118 and 7200, that added together give a palindrome (813318).

The spelling of 8061187200 in words is "eight billion, sixty-one million, one hundred eighty-seven thousand, two hundred".